{"id":"vidhyamitra:city-day:phoenix:2157-05-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2157-05-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2157-05-16","date_display":"May 16, 2157 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2157,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509023.770833,"kali_year":5259,"ahargana":1920558.2708,"sun":{"sidereal_longitude":29.0888,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":115.5487,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.4599,"elapsed_within_tithi_degrees":2.4599},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.5487,"elapsed_within_degrees":8.882},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.6375},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2157,"month":5,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509023.770833,"ahargana":1920558.2708,"kali_year":5259,"ayanamsa_lahiri":26.0513,"grahas":{"sun":{"sidereal_longitude":29.469599000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":117.44009900000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":0.3161},"mars":{"sidereal_longitude":186.64159900000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":17.641598999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":98.182499,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"venus":{"sidereal_longitude":50.332199,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":149.360499,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":299.5804,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.5804,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2157,"month":5,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509023.770833,"kali_year":5259,"ahargana":1920558.2708,"sun":{"sidereal_longitude":29.0888,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":115.5487,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":86.4599,"elapsed_within_tithi_degrees":2.4599},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3,"moon_longitude":115.5487,"elapsed_within_degrees":8.882},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.6375},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.316,"elongation":86.46},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.316,"opposition_distance":93.54}},"eclipse_window_40days":[]},"city":{"slug":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"tier2":{"city":{"slug":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"sunriseLocal":"05:27","sunsetLocal":"19:22","solarNoonLocal":"12:25","dayLengthHours":13.912188401916467,"dayLengthDisplay":"13 Hours 54 Mins 44 Secs","nightLengthDisplay":"10 Hours 05 Mins 16 Secs","moonriseLocal":"11:36","moonsetLocal":"00:56","rahuKala":{"name":"Rāhu Kāla","start":"07:12","end":"08:56","startHours":7.192141766634864,"endHours":8.931165316874424,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:40","end":"12:25","startHours":10.670188867113982,"endHours":12.40921241735354,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:09","end":"15:53","startHours":14.148235967593099,"endHours":15.887259517832657,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:42","end":"09:10","startHours":8.699295510175816,"endHours":9.16303512357303,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:02","end":"06:24","startHours":6.032792733141825,"endHours":6.403784423859598,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.945472803956324,"endHours":12.872952030750756,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:36","end":"04:32","startHours":3.5981597628064437,"endHours":4.525638989600875,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:18","end":"05:27","startHours":4.293769182902267,"endHours":5.453118216395306,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:44","end":"15:39","startHours":14.727910484339617,"endHours":15.655389711134047,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:10","end":"19:34","startHours":19.165306618311774,"endHours":19.565306618311773,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:22","end":"19:57","startHours":19.365306618311774,"endHours":19.944981135058292,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:07","end":"20:52","startHours":19.115306618311774,"endHours":20.865306618311774,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.945472803956324,"endHours":24.872952030750756,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:27","end":"07:12","startHours":5.453118216395306,"endHours":7.192141766634864,"quality":"auspicious"},{"name":"Kāla","start":"07:12","end":"08:56","startHours":7.192141766634864,"endHours":8.931165316874424,"quality":"inauspicious"},{"name":"Śubha","start":"08:56","end":"10:40","startHours":8.931165316874424,"endHours":10.670188867113982,"quality":"auspicious"},{"name":"Roga","start":"10:40","end":"12:25","startHours":10.670188867113982,"endHours":12.40921241735354,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:09","startHours":12.40921241735354,"endHours":14.148235967593099,"quality":"inauspicious"},{"name":"Chala","start":"14:09","end":"15:53","startHours":14.148235967593099,"endHours":15.887259517832657,"quality":"neutral"},{"name":"Labha","start":"15:53","end":"17:38","startHours":15.887259517832657,"endHours":17.626283068072215,"quality":"auspicious"},{"name":"Amṛta","start":"17:38","end":"19:22","startHours":17.626283068072215,"endHours":19.365306618311774,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:22","end":"20:38","startHours":19.365306618311774,"endHours":20.626283068072215,"quality":"neutral"},{"name":"Labha","start":"20:38","end":"21:53","startHours":20.626283068072215,"endHours":21.887259517832657,"quality":"auspicious"},{"name":"Amṛta","start":"21:53","end":"23:09","startHours":21.887259517832657,"endHours":23.1482359675931,"quality":"auspicious"},{"name":"Kāla","start":"23:09","end":"00:25","startHours":23.1482359675931,"endHours":24.40921241735354,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:40","startHours":24.40921241735354,"endHours":25.670188867113982,"quality":"auspicious"},{"name":"Roga","start":"01:40","end":"02:56","startHours":25.670188867113982,"endHours":26.931165316874424,"quality":"inauspicious"},{"name":"Udveg","start":"02:56","end":"04:12","startHours":26.931165316874424,"endHours":28.192141766634865,"quality":"inauspicious"},{"name":"Chala","start":"04:12","end":"05:27","startHours":28.192141766634865,"endHours":29.453118216395307,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:27","end":"06:27","startHours":5.453118216395306,"endHours":6.453118216395306,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:27","end":"07:27","startHours":6.453118216395306,"endHours":7.453118216395306,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:27","end":"08:27","startHours":7.453118216395306,"endHours":8.453118216395307,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:27","end":"09:27","startHours":8.453118216395307,"endHours":9.453118216395307,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:27","end":"10:27","startHours":9.453118216395307,"endHours":10.453118216395307,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:27","end":"11:27","startHours":10.453118216395307,"endHours":11.453118216395307,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:27","end":"12:27","startHours":11.453118216395307,"endHours":12.453118216395307,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:27","end":"13:27","startHours":12.453118216395307,"endHours":13.453118216395307,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:27","end":"14:27","startHours":13.453118216395307,"endHours":14.453118216395307,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:27","end":"15:27","startHours":14.453118216395307,"endHours":15.453118216395307,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:27","end":"16:27","startHours":15.453118216395307,"endHours":16.453118216395307,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:27","end":"17:27","startHours":16.453118216395307,"endHours":17.453118216395307,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:27","end":"18:27","startHours":17.453118216395307,"endHours":18.453118216395307,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:27","end":"19:27","startHours":18.453118216395307,"endHours":19.453118216395307,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:27","end":"20:27","startHours":19.453118216395307,"endHours":20.453118216395307,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:27","end":"21:27","startHours":20.453118216395307,"endHours":21.453118216395307,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:27","end":"22:27","startHours":21.453118216395307,"endHours":22.453118216395307,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:27","end":"23:27","startHours":22.453118216395307,"endHours":23.453118216395307,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:27","end":"00:27","startHours":23.453118216395307,"endHours":24.453118216395307,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:27","end":"01:27","startHours":24.453118216395307,"endHours":25.453118216395307,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:27","end":"02:27","startHours":25.453118216395307,"endHours":26.453118216395307,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:27","end":"03:27","startHours":26.453118216395307,"endHours":27.453118216395307,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:27","end":"04:27","startHours":27.453118216395307,"endHours":28.453118216395307,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:27","end":"05:27","startHours":28.453118216395307,"endHours":29.453118216395307,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":19.139173313709133,"eotMinutes":3.743254958787478,"ayanamsa":26.0513}},"calendars":{"vikram_samvat":2214,"vikram_samvatsara":"Pramoda","saka_samvat":2079,"saka_samvatsara":"Piṅgala","bengali_samvat":1564,"malayalam_era":1333,"nanakshahi_year":688,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Vaiśākha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Aṣṭamī · Vikram 2214 Pramoda · Śaka 2079 Piṅgala"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"phoenix"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 16, 2157 CE · Phoenix, USA · Vidhyamitra","description":"May 16, 2157 CE for Phoenix, USA: Śukla Aṣṭamī, sūryodaya 05:27, sūryāsta 19:22.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2157-05-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2157-05-16","sa":"https://sa.vidhyamitra.com/city/phoenix/2157-05-16","hi":"https://hi.vidhyamitra.com/city/phoenix/2157-05-16","x-default":"https://vidhyamitra.com/city/phoenix/2157-05-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T08:15:38.861Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-01T08:15:38.861Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T08:15:38.861Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}